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Finding the Fourth Proportional to 361,707.22, 542,682.38 and 253,749.11

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Solution

The fourth proportional to 361,707.22, 542,682.38 and 253,749.11 is: 380,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,707.22 : 542,682.38 = 253,749.11 : x
  2. Step 2: Convert to fraction form
    361,707.22/542,682.38 = 253,749.11/x
  3. Step 3: Cross multiply
    361,707.22x = 542,682.38 × 253,749.11
  4. Step 4: Simplify right side
    361,707.22x = 137,705,168,858.64
  5. Step 5: Solve for x
    x = 137,705,168,858.64/361,707.22
  6. Step 6: Final answer
    x = 380,708.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.